Geometrical Modeling of Surface Generation Through Wrapping

1997 ◽  
Vol 119 (4B) ◽  
pp. 829-834 ◽  
Author(s):  
N. Oancea ◽  
V. G. Oancea
Keyword(s):  
Inverse Problem ◽  
Numerical Method ◽  
Cutting Tools ◽  
Analytical Form ◽  
New Method ◽  
Surface Generation ◽  
Minimal Distance ◽  
Geometrical Modeling ◽  
Tool Profile ◽  
Envelope Theory

A number of methods exist for determining profiles of cutting tools that work by wrapping. Most of these methods are based on the envelope theory and almost inevitably require cumbersome analytical formulations not always easy to resolve. This work presents a new method for studying conjugated surfaces associated with rolling axodes. Originally devised in an analytical form in a previous work of the first author, a purely numerical method is developed here based on a theorem which we call “the theorem of the minimal distance.” The advantage is twofold: first, geometrical modeling of tool profile calculation is possible even for profiles which cannot be described analytically; second, a very useful tool is provided for the inverse problem—starting from the measured cutting edges profiles, one can calculate the effectively generated surface on the workpiece. Several examples are shown for rack, shaper, and rotational cutters.

A New Method for Modeling of Cutting Tools Associated With Rolling Axodes

1998 ◽  
Author(s):  
Nicolae Oancea ◽  
Victor G. Oancea
Keyword(s):  
Cutting Tools ◽  
New Method ◽  
Contact Points ◽  
Alternative Method ◽  
Solution Of Equations ◽  
Tool Profile ◽  
Family Of Curves ◽  
Envelope Theory

Abstract Most of the existing methods for determining the profiles of cutting tools that work by wrapping are based on the envelope theory which requires cumbersome analytical formulations associated with the solution of equations not always easy to resolve. This work presents a new alternative method for studying conjugated surfaces associated with rolling axodes. The original meshing surfaces are replaced by a family of curves of substitution which gives a simpler interpretation of the envelope theory. The meshing line and the contact points can be easily determined. An equidistant to the tool profile can be simply calculated which can be very useful in the case of machining with cylindrical abrasive disks. Several examples are shown for rack, shaper and rotational cutters.

A New Numerical Approach to Model Surface Generation Through Wrapping

1996 ◽  
Author(s):  
Victor G. Oancea ◽  
Nicolae Oancea
Keyword(s):  
Inverse Problem ◽  
Direct Problem ◽  
Cutting Tools ◽  
Analytical Description ◽  
Numerical Approach ◽  
Surface Generation ◽  
Minimal Distance ◽  
Model Surface ◽  
Solution Of Equations

Abstract Several methods exist for the determination of profiles of cutting tools which work by wrapping. Most of these methods are based on the envelope theory and most often require cumbersome analytical formulations and the solution of equations not always easy to resolve. This work, based on the principle of minimal distance first proposed in a previous work of the second author, presents a new purely numerical method for the calculation of the active profile of the cutting tools which work by wrapping (direct problem) as well as for the estimation of the effectively generated surface on the workpiece when the tool is known at discrete points (inverse problem). The method can be used for any nonstandard profiles when an analytical description of the surfaces is not available. Several examples are shown for machining ball screws and parts of helical pumps.

A New Method for Cutting Tools Design

2000 ◽  
Author(s):  
Nicolae Oancea ◽  
Victor G. Oancea ◽  
Epureanu Alexandru
Keyword(s):  
Cutting Tools ◽  
New Method ◽  
Discrete Representation ◽  
Alternative Method ◽  
Envelope Theory

Abstract Most of the existing methods for determining the profiles of cutting tools that work by wrapping are based on the envelope theory. This theory requires cumbersome analytical formulations resulting in sets of equations not always easy to solve. This work presents a new alternative method for studying conjugated surfaces associated with rolling axodes by using a discrete representation of the tool. The new method is based on studying the trajectories of points on the tool relative to the workpiece in order to define the tool’s profile. Several examples are shown for rack, shaper and rotational cutters.

scholarly journals Numerical method of identification of an unknown source term in a heat equation

2002 ◽  
Vol 8 (2) ◽  
pp. 161-168 ◽  
Author(s):  
Afet Golayoğlu Fatullayev
Keyword(s):  
Inverse Problem ◽  
Heat Equation ◽  
Numerical Method ◽  
Minimization Problem ◽  
Unknown Function ◽  
Source Term ◽  
Numerical Procedure ◽  
Numerical Examples ◽  
Unknown Source

A numerical procedure for an inverse problem of identification of an unknown source in a heat equation is presented. Approach of proposed method is to approximate unknown function by polygons linear pieces which are determined consecutively from the solution of minimization problem based on the overspecified data. Numerical examples are presented.

scholarly journals A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data

2018 ◽  
Vol 11 (4) ◽  
pp. 2339-2367 ◽  
Author(s):  
Michael V. Klibanov ◽  
Nikolay A. Koshev ◽  
Dinh-Liem Nguyen ◽  
Loc H. Nguyen ◽  
Aaron Brettin ◽  
...  
Keyword(s):  
Experimental Data ◽  
Inverse Problem ◽  
Numerical Method ◽  
Coefficient Inverse Problem ◽  
Single Measurement

scholarly journals IPG as a new method to improve the agility of the initial analysis of the inventive design

2021 ◽  
Vol 49 (3) ◽  
pp. 549-562
Author(s):  
Masih Hanifi ◽  
Hicham Chibane ◽  
Rémy Houssin ◽  
Denis Cavallucci
Keyword(s):  
Inverse Problem ◽  
Design Method ◽  
New Method ◽  
Significant Progress ◽  
Initial Analysis ◽  
The Subject ◽  
Time Required

TRIZ method has long proven its value without appearing to the industrial world as inevitable. Design researchers have therefore addressed the limitations of the TRIZ method and have overcome them with more systematic approaches. Among these, the Inventive Design Method (IDM) has been the subject of several articles and put into practice in the industry. It is considered an improvement over TRIZ but still suffers from some drawbacks in terms of the time-consuming nature of its implementation. We focused on the IDM process by trying to both identify its areas of inefficiencies while attempting to preserve the quality of its deliverables. Our approach consists of applying the precepts of Lean to IDM. The result is the Inverse Problem Graph (IPG) method, inspired by IDM, but offering significant progress in reducing the time required to mobilize experts while preserving its inventive outcomes. This article outlines our approach for the construction of this new method.

scholarly journals A New Method for the Calculation of Energy and Power Requirements of Bucket Wheel Excavators

2019 ◽  
Vol 10 (1) ◽  
pp. 15-20
Author(s):  
József András ◽  
József Kovács ◽  
Endre András ◽  
Ildikó Kertész ◽  
Ovidiu Bogdan Tomus
Keyword(s):  
Energy Consumption ◽  
Numerical Method ◽  
Horizontal Plane ◽  
Vertical Plane ◽  
New Method ◽  
Energy Requirements ◽  
Belt Conveyor ◽  
Analytical Formulas ◽  
Power And Energy ◽  
Continuous Working

Abstract The bucket wheel excavator (BWE) is a continuous working rock harvesting device which removes the rock by means of buckets armoured with teeth, mounted on the wheel and which transfers rock on a main hauling system (generally a belt conveyor). The wheel rotates in a vertical plane and swings in the horizontal plane and raised / descended in the vertical plane by a boom. In this paper we propose a graphical-numerical method in order to calculate the power and energy requirements of the main harvesting structure (the bucket wheel) of the BWE. This approach - based on virtual models of the main working units of bucket wheel excavators and their working processes - is more convenient than those based on analytical formulas and simplification hypotheses, and leads to improved operation, reduced energy consumption, increased productivity and optimal use of available actuating power.

DEFINITION OF HYDRAULIC RESISTANCE OF UNDERGROUND OIL PIPELINE

2020 ◽  
Vol 69 (1) ◽  
pp. 56-61
Author(s):  
L. Yermekkyzy ◽  
Keyword(s):  
Heat Transfer ◽  
Inverse Problem ◽  
Numerical Method ◽  
Hydraulic Resistance ◽  
High Viscosity ◽  
System Of Equations ◽  
Oil Viscosity ◽  
Oil Pipeline ◽  
Conservation Of Momentum ◽  
Definition Of

The results of solving the inverse problem of determining the hydraulic resistance of a main oil pipeline are presented. The formulation of the inverse problem is formulated, a numerical method for solving the system of equations is described. The hydraulic resistance of the pipeline during the "hot" pumping of high-curing and high-viscosity oil changes during operation. Oil temperature decreases along the length of the pipeline due to heat transfer from the soil, leading to an increase in oil viscosity and an increase in hydraulic resistance.The dependence of the hydraulic resistance of the pipeline on the parameters of oil pumping is determined by solving the inverse problem. The inverse problem statement consists of a system of equations of laws of conservation of momentum, mass, energy and hydraulic resistance in the form of Altshul with unknown coefficients. The system of partial differential equations of hyperbolic type for speed and pressure is solved by the numerical method of characteristics, and the heat transfer equations by the iterative method of running counting.

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